Affiliation:
1. Department of Metallurgy, Mechanics and Materials Science, Michigan State University, East Lansing MI 48824-1226
Abstract
A stochastic method is developed for analysis of transient waves propagating in one-dimensional random granular-type media. The method is suited to study transient dynamic response of nonlinear microstructures with material randomess, of high signal-to-noise ratio, being present in constitutive moduli and grain lengths. It generalizes the classical solution techniques, based on the theory of characteristics, by taking advantage of the Markov property of the forward propagaing disturbances. Pulses propagating in bilinear elastic, nonlinear elastic, and linear-hysteretic media are studied. Additionally, a short review is given of an investigation of acceleration wavefronts making a transition into shocks in random nonlinear elastic/dissipative continua, where Markov property can again be exploited.
Cited by
8 articles.
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1. Nonlinear Impulses in Particulate Materials;Dynamics of Heterogeneous Materials;2001
2. On the growth and decay of acceleration waves in random media;Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences;1999-07-08
3. Waves in Porous and Granular Materials;Kinetic and Continuum Theories of Granular and Porous Media;1999
4. The cauchy and characteristic boundary value problems of random rigid-perfectly plastic media;International Journal of Solids and Structures;1996-03
5. Wavefront propagation in a class of random microstructures—II. Non-Linear elastic grains;International Journal of Non-Linear Mechanics;1995-11